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AnnZ [28]
3 years ago
6

Consider the parallelogram shown below whose area is 40 square centimeters and height is 8 centimeters. The

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

89

Step-by-step explanation:

You might be interested in
When two polynomials are subtracted the difference is -4x^2-7x+9. If one of the polynomials is x^2-4x+2, then determine the two
algol [13]

Answer:

The two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

Step-by-step explanation:

When two polynomials are subtracted the difference is

-4x² - 7x + 9

One of the polynomials is

x² - 4x + 2

To get the second polynomial, we an either add x² - 4x + 2 to -4x² - 7x + 9 or subtract -4x² - 7x + 9 from x² - 4x + 2

First Option:

(x² - 4x + 2) + (-4x² - 7x + 9)

= x² - 4x + 2 - 4x² - 7x + 9

= x² - 4x² - 4x - 7x + 2 + 9

= -3x² - 11x + 11

Secons Option:

(x² - 4x + 2) - (-4x² - 7x + 9)

= x² - 4x + 2 + 4x² + 7x - 9

= x² + 4x² - 4x + 7x + 2 - 9

= 5x² + 3x - 7

Therefore, the two options are:

-3x² - 11x + 11 and 5x² + 3x - 7

7 0
3 years ago
Which of the following numbers is rational? Assume that the decimal patterns continue.
Phantasy [73]

9514 1404 393

Answer:

  (c) √49

  (d) 2.544544...(3-digit repeat)

Step-by-step explanation:

Square roots of perfect squares are rational, as are repeating decimals.

6 0
3 years ago
Choose the correct product of (6x − 2)(6x + 2). (1 point)
Vanyuwa [196]
You did not give any choices but this can easily be solved using the FOIL method. 

FOIL stands for First, Outside, Inside, Last. 

In your equation you have (6x-2)(6x+2)
You will multiply the terms that correspond to each letter 

First: Means first terms of each set. In this case 6x and 6x
6x x 6x = 36x^{2} Now you have your first term in the sequence.

Outside: Means terms found in the outside areas of the whole equation, in this case it is 6x and 2
6x x 2 = 12x Now this is the second term

Inside: Means terms found in the inside areas of the whole equation, in this case it is -2 and 6x
-2 x 6x = -12x Now this is your third term

Last: Means the last terms of each set. In this case it is -2 and 2
-2 x 2 = -4  This is your last term

Now you have what you need for your new equation:

36x^{2} + 12x -12x - 4

Because your second and third terms are like terms, you can combine them by doing the operation indicated. 12x-12x = 0 so now you can cancel it out from your equation and your left with:

36 x^{2} - 4 This is your product
6 0
3 years ago
A florist sold 14 flower bouquets yesterday, including 7 lily bouquets. Based on past data, how many of the next 20 bouquets sol
tensa zangetsu [6.8K]

Answer:

10

Step-by-step explanation:

From past data:

Fraction of lily sold :

Total flowers / number of lily

Total flowers = 14

Number of lily = 7

Fraction of lily = 14 /7 = 1/2

Going by these ;

Expected number of lilies in the next 20 bouquets sold :

Fraction of lily * number of flower in bouquet

1/2 * 20

= 10 lilies

5 0
3 years ago
A container built for transatlantic shipping is constructed in the shape of a right rectangular prism. Its dimensions are 7 ft b
____ [38]

Given:

Dimensions are 7 ft by 5 ft by 8.5 ft

Contents weigh 0.21 pound

Contents worth $8.80 per pound

Find-: value of container contents.

Sol:

Volume is:

\begin{gathered} Volume\text{ = }7\times5\times8.5 \\  \\ =297.5 \end{gathered}

The formula of density is:

\text{ Density =}\frac{\text{  Mass}}{\text{ Volume}}

So,

\begin{gathered} 0.21=\frac{\text{ Weight  of contents in container}}{\text{ Volume of container}} \\  \\ 0.21=\frac{\text{ Weight}}{297.5} \\  \\ 0.21\times297.5=\text{ Weight} \\  \\ \text{ Weight of contents in container = }62.475\text{ Pound} \end{gathered}

Now $8.80 per pound

For 62.475 pounds the value is:

\begin{gathered} =62.475\times8.80 \\  \\ =549.78 \end{gathered}

So the value of the container contents is 549.78

7 0
1 year ago
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